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Find the roots of the equation using the Quadratic Formula
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$32^{\left(x^2-5x-3\right)}=1$
Learn how to solve equations problems step by step online. Find the roots of 32^(x^2-5x+-3)=1. Find the roots of the equation using the Quadratic Formula. Decompose 32 in it's prime factors. Simplify \left(2^{5}\right)^{\left(x^2-5x-3\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals x^2-5x-3. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.